Highest Common Factor of 467, 172 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 467, 172 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 467, 172 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 467, 172 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 467, 172 is 1.
HCF(467, 172) = 1
HCF of 467, 172 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 467, 172 is 1.
Highest Common Factor of 467,172 is 1
Step 1: Since 467 > 172, we apply the division lemma to 467 and 172, to get
467 = 172 x 2 + 123
Step 2: Since the reminder 172 ≠ 0, we apply division lemma to 123 and 172, to get
172 = 123 x 1 + 49
Step 3: We consider the new divisor 123 and the new remainder 49, and apply the division lemma to get
123 = 49 x 2 + 25
We consider the new divisor 49 and the new remainder 25,and apply the division lemma to get
49 = 25 x 1 + 24
We consider the new divisor 25 and the new remainder 24,and apply the division lemma to get
25 = 24 x 1 + 1
We consider the new divisor 24 and the new remainder 1,and apply the division lemma to get
24 = 1 x 24 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 467 and 172 is 1
Notice that 1 = HCF(24,1) = HCF(25,24) = HCF(49,25) = HCF(123,49) = HCF(172,123) = HCF(467,172) .
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Frequently Asked Questions on HCF of 467, 172 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 467, 172?
Answer: HCF of 467, 172 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 467, 172 using Euclid's Algorithm?
Answer: For arbitrary numbers 467, 172 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
